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Finding the Fourth Proportional to 7,983.45, 12,015 and 6,019.20

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Solution

The fourth proportional to 7,983.45, 12,015 and 6,019.20 is: 9,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.45 : 12,015 = 6,019.20 : x
  2. Step 2: Convert to fraction form
    7,983.45/12,015 = 6,019.20/x
  3. Step 3: Cross multiply
    7,983.45x = 12,015 × 6,019.20
  4. Step 4: Simplify right side
    7,983.45x = 72,320,688
  5. Step 5: Solve for x
    x = 72,320,688/7,983.45
  6. Step 6: Final answer
    x = 9,058.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.